Floquet engineering XXZ spin models and two-axis twisting with ultracold molecules

Due to their strong, long-range, and tunable dipolar interactions, ultracold molecules in optical lattices are a versatile platform for studying quantum many-body physics. In addition to control with d.c. electric and magnetic fields, molecules are also amenable to Floquet Hamiltonian engineering with microwave pulse sequences. Using a spin-1/2 system encoded in rotational states of ultracold KRb molecules, we investigated two applications of Floquet engineering. First, we validated our method by benchmarking Ramsey contrast decay of Floquet engineered XXZ spin models theoretically against MACE simulations and experimentally against spin models tuned by d.c. electric fields. Second, we explored two-axis twisting mean-field dynamics in itinerant molecules using an XYZ Hamiltonian, which cannot be generated by d.c. fields.